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Finding the Third Proportional to 126,467.72 and 275,243.34

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Solution

The third proportional to 126,467.72 and 275,243.34 is: 599,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,467.72 : 275,243.34 = 275,243.34 : x
  2. Step 2: Convert to fraction form
    126,467.72/275,243.34 = 275,243.34/x
  3. Step 3: Cross multiply
    126,467.72x = 275,243.34 × 275,243.34
  4. Step 4: Simplify right side
    126,467.72x = 75,758,898,278.68
  5. Step 5: Solve for x
    x = 75,758,898,278.68/126,467.72
  6. Step 6: Final answer
    x = 599,037.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.